given the functions f(x) = sqrt x+1 and g(x) = 6x+a in the xy coordinate plane, y= f[g(x)] passes through the point (3,5) . what is the value of a ?

Answer 1

I somehow think you meant
f(x) = √(x+1)

then f(g(x)) = √((6x+a) + 1)
if (3,5) lies on it

5 = √(18+a + 1)
25 = a + 19
a = 6

If you meant f(x) = √x + 1
then follow the same steps as above.